Question 36
Determine the complex numbers $z$ for which
$$
|z| = \frac{1}{|z|} = |z - 1|.
$$
$$
|z| = \frac{1}{|z|} = |z - 1|.
$$
MathNet 2009-part-03 — 175 problems (EN–VI) Question 36
Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)